3466988160 has 128 divisors (see below), whose sum is σ = 11701195200. Its totient is φ = 870137856.

The previous prime is 3466988153. The next prime is 3466988281. The reversal of 3466988160 is 618896643.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20470 + ... + 85749.

Almost surely, 2^3466988160 is an apocalyptic number.

3466988160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850597600).

3466988160 is an abundant number, since it is smaller than the sum of its proper divisors (8234207040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3466988160 is a wasteful number, since it uses less digits than its factorization.

3466988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106258 (or 106246 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3466988160 is about 58881.1358586092. The cubic root of 3466988160 is about 1513.5059042769.

The spelling of 3466988160 in words is "three billion, four hundred sixty-six million, nine hundred eighty-eight thousand, one hundred sixty".